In: Statistics and Probability
a. The medical records of infants delivered at Kaiser Memorial Hospital show that the infants' lengths at birth (in inches) are normally distributed with a mean of 22 and a standard deviation of 2.2. Find the probability that an infant selected at random from among those delivered at the hospital measures the following. (Round your answers to four decimal places.)
(a) more than 25 in.
(b) less than 19 in.
(c) between 20 and 24 in.
(b) TKK Products manufactures 50-, 60-, 75-, and 100-watt electric light bulbs. Laboratory tests show that the lives of these light bulbs are normally distributed with a mean of 600 hr and standard deviation of 150 hr. What is the probability that a TKK light bulb selected at random will burn for the following times? (Round your answers to four decimal places.)
(a) more than 750 hr
(b) less than 400 hr
(c) between 600 and 750 hr
(d) between 400 and 650 hr
(c) According to the data released by the Chamber of Commerce of a certain city, the weekly wages of factory workers are normally distributed with a mean of $770 and standard deviation of $70. Find the probability that a worker selected at random from the city makes the following weekly wage. (Round your answers to four decimal places.)
(a) less than $770
(b) more than $945
(c) between $700 and $910
Answer---->>>
Here all z values calculate from standard normal distribution table for positive values.